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Find the missing number so that the equation has no solutions. $\newline$ $2x + 3 = \_\_\_\_x + 8$

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Create linear equations with no solutions or infinitely many solutions

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Q. Find the missing number so that the equation has no solutions.

\newline

2x + 3 = \_\_\_\_x + 8

Understand Equation Solutions: Understand when an equation has no solutions. An equation has no solutions when the two sides of the equation are parallel lines, which means the coefficients of $x$ are the same, but the constants are different.
Set Up Missing Number: Set up the equation with the missing number. $\newline$ $2x + 3 =$ ____ $x + 8$ $\newline$ We need to find the missing number that makes the coefficients of $x$ the same on both sides of the equation.
Identify Coefficient: Identify the coefficient of $x$ on the left side of the equation. $\newline$ The coefficient of $x$ on the left side is $2$ .
Make Coefficients Same: Make the coefficients of $x$ the same on both sides. $\newline$ To have no solutions, the missing number should be the same as the coefficient on the left side, which is $2$ .
Check Constants: Check if the constants are different. $\newline$ The constants are $3$ on the left side and $8$ on the right side. Since they are different, the equation will have no solutions if the coefficients of $x$ are the same.
Conclude Missing Number: Conclude the missing number. $\newline$ The missing number is $2$ because it makes the coefficients of $x$ the same, and the constants are different, ensuring no solutions.

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